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math.AP2014★ 1 cited
Compactness Properties for Geometric Fourth order Elliptic equations with Application to the Q-curvature Flow
Ali Fardoun, Rachid Regbaoui
We prove the compactness of solutions to general fourth order elliptic equations which are L^1-perturbations of the Q-curvature equation on compact Riemannian 4-maniods. Consequent…
math.AP2012★ 2 cited
Regularity and Uniqueness of p-harmonic Maps with Small Range
Ali Fardoun, Rachid Regbaoui
We prove the uniqueness of solutions to Dirichlet problem for p-harmonic maps with images in a small geodesic ball of the target manifold. As a consequence, we show that such maps…